Geodesic
On the axioms for adhesive and quasiadhesive categories
Theory and applications of categories, CT2011, Tome 27 (2012), pp. 27-46.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

A category is adhesive if it has all pullbacks, all push-outs along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.
Publié le :
Classification : 18A30, 18B15
Keywords: adhesive category, quasiadhesive category, pushout, exactness condition, embedding theorem 
@article{TAC_2012_27_a2,
     author = {Richard Garner and Stephen Lack},
     title = {On the axioms for adhesive and quasiadhesive categories},
     journal = {Theory and applications of categories},
     pages = {27--46},
     publisher = {mathdoc},
     volume = {27},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_27_a2/}
}
TY  - JOUR
AU  - Richard Garner
AU  - Stephen Lack
TI  - On the axioms for adhesive and quasiadhesive categories
JO  - Theory and applications of categories
PY  - 2012
SP  - 27
EP  - 46
VL  - 27
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2012_27_a2/
LA  - en
ID  - TAC_2012_27_a2
ER  - 
%0 Journal Article
%A Richard Garner
%A Stephen Lack
%T On the axioms for adhesive and quasiadhesive categories
%J Theory and applications of categories
%D 2012
%P 27-46
%V 27
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2012_27_a2/
%G en
%F TAC_2012_27_a2
Richard Garner; Stephen Lack. On the axioms for adhesive and quasiadhesive categories. Theory and applications of categories, CT2011, Tome 27 (2012), pp. 27-46. http://geodesic.mathdoc.fr/item/TAC_2012_27_a2/